32045640 has 96 divisors (see below), whose sum is σ = 105719040. Its totient is φ = 7765120.

The previous prime is 32045633. The next prime is 32045653. The reversal of 32045640 is 4654023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32045640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13417 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (1101240).

Almost surely, 2^32045640 is an apocalyptic number.

32045640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52859520).

32045640 is an abundant number, since it is smaller than the sum of its proper divisors (73673400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32045640 is a wasteful number, since it uses less digits than its factorization.

32045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 32045640 is about 5660.8868563150. The cubic root of 32045640 is about 317.6310740766.

Adding to 32045640 its reverse (4654023), we get a palindrome (36699663).

The spelling of 32045640 in words is "thirty-two million, forty-five thousand, six hundred forty".